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Finding the Fourth Proportional to 834.42, 1,251.64 and 257.26

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Solution

The fourth proportional to 834.42, 1,251.64 and 257.26 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.42 : 1,251.64 = 257.26 : x
  2. Step 2: Convert to fraction form
    834.42/1,251.64 = 257.26/x
  3. Step 3: Cross multiply
    834.42x = 1,251.64 × 257.26
  4. Step 4: Simplify right side
    834.42x = 321,996.91
  5. Step 5: Solve for x
    x = 321,996.91/834.42
  6. Step 6: Final answer
    x = 385.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.